For the function h(x) =3x/(x+5)(x-4), solve the equation.

Mathematics

1 answer:

LuckyWell [14K]2 years ago

8 0

Answer:

x = 0

Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

0 = (3x)/[(x + 5)(x - 4)

Multiply both sides by the denominator to get rid of the fraction

0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]

0 = 3x

0 = x (divide both sides by 3)

So x = 0 is the solution for this equation

You might be interested in

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.65, and they leave a 20% ti

MArishka [77]

The total tip is 15.72

The cost of dinner with the discount is 66.85 (rounded to the nearest cent)

66.85 + 15.72 = 82.57

7 0

3 years ago

PLEASEEE HELP IM REALLY CONFUSED ;( ILL GIVE BRAINLIEST TO BEST ANSWR

Paladinen [302]

D.........................................

4 0

2 years ago